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📄 4.3.rickard.ps

📁 是multiuser detection 这本书的习题解答, 很有用的书.
💻 PS
📖 第 1 页 / 共 3 页
字号:
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E endTeXDict begin1 0 bop 1373 289 a Fi(Multiuser)45 b(Detection)1656 530y Fh(Scott)33 b(Ric)m(k)-5 b(ard)1619 725 y(Marc)m(h)33b(10,)g(1999)515 1083 y Fg(Solution)45 b(to)h(Problem)f(4.03)5151281 y Ff(\(a\))515 1434 y Fe(Note)27 b(that)h(in)g(the)g(expression,)1390 1617 y Fd(A)1452 1629 y Fc(1)1489 1617 y Fd(y)15301629 y Fc(1)1567 1617 y Fd(b)1603 1629 y Fc(1)1658 1617y Fe(+)18 b Fd(A)1803 1629 y Fc(2)1841 1617 y Fd(y)18821629 y Fc(2)1919 1617 y Fd(b)1955 1629 y Fc(2)2010 1617y Fb(\000)g Fd(A)2155 1629 y Fc(1)2193 1617 y Fd(A)22551629 y Fc(2)2292 1617 y Fd(\032b)2371 1629 y Fc(1)24081617 y Fd(b)2444 1629 y Fc(2)2481 1617 y Fd(;)515 1800y Fe(w)n(e)37 b(can)h(alw)n(a)n(ys)e(c)n(ho)r(ose)h Fd(b)13961812 y Fc(1)1471 1800 y Fe(and)h Fd(b)1679 1812 y Fc(2)17541800 y Fe(to)g(mak)n(e)f(an)n(y)g(t)n(w)n(o)h(terms)f(\(of)i(the)f(three\))g(ha)n(v)n(e)515 1899 y(p)r(ositiv)n(e)i(sign.)78b(The)41 b(third)g(term's)g(sign)g(is)g(then)g(constrained.)77b(W)-7 b(e)41 b(use)g(this)h(fact)515 1999 y(throughout)27b(the)h(solution.)639 2098 y(If,)1383 2198 y(min)q Fb(f)pFd(A)1626 2210 y Fc(1)1663 2198 y Fb(j)p Fd(y)1727 2210y Fc(1)1764 2198 y Fb(j)p Fd(;)14 b(A)1886 2210 y Fc(2)19232198 y Fb(j)p Fd(y)1987 2210 y Fc(2)2024 2198 y Fb(jg)23b(\025)f Fd(A)2261 2210 y Fc(1)2299 2198 y Fd(A)23612210 y Fc(2)2398 2198 y Fb(j)p Fd(\032)p Fb(j)p Fd(;)5152348 y Fe(then)28 b(clearly)-7 b(,)1375 2447 y(max)pFb(f)p Fd(A)1634 2459 y Fc(1)1671 2447 y Fb(j)p Fd(y)17352459 y Fc(1)1772 2447 y Fb(j)p Fd(;)14 b(A)1894 2459y Fc(2)1931 2447 y Fb(j)p Fd(y)1995 2459 y Fc(2)20322447 y Fb(jg)23 b(\025)f Fd(A)2269 2459 y Fc(1)2307 2447y Fd(A)2369 2459 y Fc(2)2406 2447 y Fb(j)p Fd(\032)pFb(j)p Fd(;)515 2597 y Fe(so)j(w)n(e)i(should)f(c)n(ho)r(ose)f(\()pFd(b)1329 2609 y Fc(1)1366 2597 y Fd(;)14 b(b)1439 2609y Fc(2)1476 2597 y Fe(\))27 b(so)e(that)i Fd(A)1876 2609y Fc(1)1913 2597 y Fd(y)1954 2609 y Fc(1)1991 2597 yFd(b)2027 2609 y Fc(1)2091 2597 y Fe(and)f Fd(A)23132609 y Fc(2)2351 2597 y Fd(y)2392 2609 y Fc(2)2428 2597y Fd(b)2464 2609 y Fc(2)2528 2597 y Fe(are)f(b)r(oth)i(p)r(ositiv)n(e.)36 b(That)515 2696 y(is,)1649 2857 y(^)1652 2879 y Fd(b)16882891 y Fc(1)1808 2879 y Fe(=)83 b(sgn)o(\()p Fd(y)21492891 y Fc(1)2186 2879 y Fe(\))1649 2991 y(^)1652 3012y Fd(b)1688 3024 y Fc(2)1808 3012 y Fe(=)g(sgn)o(\()pFd(y)2149 3024 y Fc(2)2186 3012 y Fe(\))p Fd(:)639 3195y Fe(Otherwise,)27 b(if,)1383 3295 y(min)q Fb(f)p Fd(A)16263307 y Fc(1)1663 3295 y Fb(j)p Fd(y)1727 3307 y Fc(1)17643295 y Fb(j)p Fd(;)14 b(A)1886 3307 y Fc(2)1923 3295y Fb(j)p Fd(y)1987 3307 y Fc(2)2024 3295 y Fb(jg)23 bFd(<)f(A)2261 3307 y Fc(1)2299 3295 y Fd(A)2361 3307

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